Results 151 to 160 of about 268,307 (331)

Duality for Evolutionary Equations With Applications to Null Controllability

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley   +1 more source

A Biophysical Approach to the Design of Networks of Communication Systems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Inspired by the growth dynamics of the protist Physarum polycephalum, we employ a formalism that describes adaptive, incompressible Hagen‐Poiseuille flows on channel networks to identify graphs connecting different nodes within Euclidean space. These graphs are either suboptimal or optimal relative to their length.
Rodrigo Almeida   +2 more
wiley   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

On an Effective Method of The Effect of Cavities, Inclusions and Crack Upon the Stress Fields in Elastic Media

open access: yesEngineering Transactions, 1986
Cracks, boles and inclusions introduce certain disturbances into the stress fields produced in elastic media by external loads. Theoretical foundations of the analysis of such stress fields are well known and, in principle, problems of this kind may ...
M. Sokołowski
doaj  

Repeatability of Rapid Human Cardiac Phosphorus MRSI (31P‐MRSI) Using Concentric Ring Trajectory Readouts at 7 T

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose PCr/ATP ratio is determined at 7 T typically using Fourier‐transform based magnetic resonance spectroscopic imaging sequences (FT‐MRSI). These sequences require acquisition times longer than desirable for inclusion in cardiac clinical trials. Concentric ring trajectory (CRT‐MRSI) has been described as an accelerated alternative k‐space
Ferenc E. Mózes   +8 more
wiley   +1 more source

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